In a rich country A, the gross domestic product 1 per person is r = 53,000 (US dollars). In a poor country B, the GDP per person is p = 7,000. Suppose that the GDP of country A grows by 5% per year, and that an economic miracle in country B begins to propel a growth of 9% per year. Assume these growth rates are constant. 1) Over how many years does the absolute difference in GDP between rich country A and poor country B increase? 2) How many years does it take for the GDP of country B to exceed that of country A? (Justify your answers.)

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter20: Economic Growth In The Global Economy
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In a rich country A, the gross domestic product 1 per person is r = 53,000 (US dollars). In
a poor country B, the GDP per person is p = 7,000. Suppose that the GDP of country A
grows by 5% per year, and that an economic miracle in country B begins to propel a
growth of 9% per year. Assume these growth rates are constant.
1) Over how many years does the absolute difference in GDP between rich
country A and poor country B increase?
2)
How many years does it take for the GDP of country B to exceed that of
country A? (Justify your answers.)
Transcribed Image Text:In a rich country A, the gross domestic product 1 per person is r = 53,000 (US dollars). In a poor country B, the GDP per person is p = 7,000. Suppose that the GDP of country A grows by 5% per year, and that an economic miracle in country B begins to propel a growth of 9% per year. Assume these growth rates are constant. 1) Over how many years does the absolute difference in GDP between rich country A and poor country B increase? 2) How many years does it take for the GDP of country B to exceed that of country A? (Justify your answers.)
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